Particle Emitter - Emit Hair from Skin Modifier Faces
Yes there is a way, you said you used a skin and subdivision modifier.

Then the following should work:


Make sure to add the particle system at the end of the modifier stack
In the particle settings look for the "Source" Tab
Select "Faces" should be default, and check the "Use Modifier Stack" option.


That should look like this:



You can use a vertex group to limit which edge(between 2 vertices) you want to grow the hair.


Deactivate the modifiers
Go in Edit Mode
Select the 2 vertices that limit the area of the later hair growth
Create the vertex group and assigning it with the weight of 1.0.
Go in Object Mode
Reactivate all modifiers
Go in the particle tab and under "Vertex Groups" select the new created group in the density slot
Smile




Happy blending:)